Measurable Darboux Functions

DOI10.2307/2047231zbMath0651.26005OpenAlexW4237773687MaRDI QIDQ3795910

Miklós Laczkovich, Paul D. Humke, Jack B. Brown

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047231

zbMATH Keywords

Borel measurable functionsLebesgue measurable functionsalmost continuityBaire one functions. polynomials with unimodular coefficientsDarboux-like properties of real functionsZahorski's condition

Mathematics Subject Classification ID

Continuous maps (54C05) Trigonometric approximation (42A10) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Polynomials and rational functions of one complex variable (30C10) Classification of real functions; Baire classification of sets and functions (26A21) Inequalities in the complex plane (30A10) Random power series in one complex variable (30B20)

Related Items (3)

Jack Brown -- in memoriam ⋮ Cardinal invariants concerning bounded families of extendable and almost continuous functions ⋮ A century of Sierpiński-Zygmund functions

Cites Work

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• Connectivity functions with a perfect road
• Maximoff's theorem
• Differentiation of real functions
• Connected \(G_ \delta\) graphs
• Fixed Points for Certain Noncontinuous Transformations
• Variations on Lusin's Theorem
• Almost continuous Darboux functions and Reed's pointwise convergence criteria
• Equivalence of Connectivity Maps and Peripherally Continuous Transformations
• Zero-dimensional sets blocking connectivity functions
• Connectivity functions and images on Peano continua
• Pointwise limits bf sequences of functions
• Fixed point theorems for connectivity maps

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